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Finding the Third Proportional to 247,110 and 501,097

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Solution

The third proportional to 247,110 and 501,097 is: 1,016,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,110 : 501,097 = 501,097 : x
  2. Step 2: Convert to fraction form
    247,110/501,097 = 501,097/x
  3. Step 3: Cross multiply
    247,110x = 501,097 × 501,097
  4. Step 4: Simplify right side
    247,110x = 251,098,203,409
  5. Step 5: Solve for x
    x = 251,098,203,409/247,110
  6. Step 6: Final answer
    x = 1,016,139.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.